EduSahara™ Worksheet

Question 1

1.

In the given figure, the area of the △HIJ is x sq.cm. K,L,M are the mid-points of the sides IJ , JH and HI respectively. The area of the △KLM is

(i)
2
3

of area of △HIJ
(ii)
3
4

of area of △HIJ
(iii)
1
2

of area of △HIJ
(iv)
1
4

of area of △HIJ
(v)
1
3

of area of △HIJ

Question 2

2.

In the given figure, △ABC, RS ∥ BC such that

(i)

1
2

√

4
(ii)

1
2

4
√

2
(iii)

1
(iv)

1
2

√

2
(v)

1
2

√

1
2

Question 3

3.

In the given figure, △EFG is isosceles right-angled at F and FH ⟂ GE. ∠G =

(i)

∠I
(ii)

∠J
(iii)

∠E
(iv)

∠F
(v)

∠H

Question 4

4.

A model of a ship is made to a scale of 1 : 65. If the volume of the model ship is 6859 cu.m, calculate the volume of the ship.

(i)

1723652875.00 cu.m
(ii)

1753652875.00 cu.m
(iii)

2003652875.00 cu.m
(iv)

2123652875.00 cu.m
(v)

1883652875.00 cu.m

Question 5

5.

In the given figure, △DEF ∼ △NOP and EF = 15 cm , OP = 21 cm and

(i)

150.44 sq.cm
(ii)

149.44 sq.cm
(iii)

148.44 sq.cm
(iv)

152.44 sq.cm
(v)

151.44 sq.cm

Question 6

6.

A rectangle having an area 132.00 sq.cm is enlarged by a scale factor of 1.40. Find the area of its image.

(i)

271.72 sq.cm
(ii)

258.72 sq.cm
(iii)

242.72 sq.cm
(iv)

256.72 sq.cm

Question 7

7.

A model of a ship is made to a scale of 1 : 175. If length of the model ship is 19 m, calculate the length of the ship.

(i)

3145.00 m
(ii)

3325.00 m
(iii)

3265.00 m
(iv)

3355.00 m
(v)

3575.00 m

Question 8

8.

If the measures are as shown in the given figure, find EF

(i)

18.0 cm
(ii)

19.0 cm
(iii)

21.0 cm
(iv)

22.0 cm
(v)

20.0 cm

Question 9

9.

In the given figure, PQ ∥ JK , and median IL bisects PQ.
△IJL ∼

(i)

△ILK
(ii)

△IJK
(iii)

△JKI
(iv)

△IPM
(v)

△IMQ

Question 10

10.

A vertical stick
14 m
long casts a shadow of
15 m
long on the ground.

At the same time, a tower casts the shadow
120 m
long on the ground.

Find the height of the tower.

(i)

110 m
(ii)

114 m
(iii)

113 m
(iv)

111 m
(v)

112 m

Question 11

11.

In the given figure, if A, Q, R, S, T, U are equidistant and RP ∥ UB and AB = 22 cm. Find AP

(i)

8.80 cm
(ii)

7.80 cm
(iii)

10.80 cm
(iv)

9.80 cm
(v)

6.80 cm

Question 12

12.

A triangle having an area 80.99 sq.cm is reduced by a scale factor of 0.50. Find the area of its image.

(i)

17.25 sq.cm
(ii)

20.25 sq.cm
(iii)

23.25 sq.cm
(iv)

25.25 sq.cm
(v)

15.25 sq.cm

Question 13

13.

In the given figure, three lines l , m and n are such that l ∥ m ∥ n.

Two transversals PQ and RS intersect them at the points A , B , C and D , E , F respectively.

∠FAC =

(i)

∠HAB
(ii)

∠AFD
(iii)

∠FEH
(iv)

∠FDA
(v)

∠HFE

Question 14

14.

In the given figure, three lines l , m and n are such that l ∥ m ∥ n.

Two transversals PQ and RS intersect them at the points A , B , C and D , E , F respectively.

∠CFA =

(i)

∠DAF
(ii)

∠BHA
(iii)

∠EHF
(iv)

∠HFE
(v)

∠AFD

Question 15

15.

In the given △LMN, OP ∥ MN. If LO : OM = 6 cm : 12 cm and LN = 17 cm, PN =

(i)

10.33 cm
(ii)

9.33 cm
(iii)

13.33 cm
(iv)

12.33 cm
(v)

11.33 cm

Question 16

16.

A model of building is made with a scale factor of 1 : 60. Find the actual height of the building if the height of the model is 5.5 cm.

(i)

2.30 m
(ii)

5.30 m
(iii)

1.30 m
(iv)

3.30 m
(v)

4.30 m

Question 17

17.

If the ratio of the bases of two triangles is H : I and the ratio of the corresponding heights is J : K , the ratio of their areas in the same order is

(i)

HI : JK
(ii)

HK : IJ
(iii)

IJ : HK
(iv)

HJ : IK
(v)

JK : HI

Question 18

18.

A triangle having an area 16.69 sq.cm is reduced such that the area of its image is 1.82 sq.cm. Find the scale factor.

(i)

8.33
(ii)

7.33
(iii)

2.33
(iv)

0.33
(v)

1.33

Question 19

19.

A model of a ship is made to a scale of 1 : 80. If the volume of the ship is 13824000 cu.m, calculate the volume of the model ship.

(i)

22.00 cu.m
(ii)

32.00 cu.m
(iii)

30.00 cu.m
(iv)

24.00 cu.m
(v)

27.00 cu.m

Question 20

20.

In the given figure, if HI ∥ JK then

(i)

△LHI ∼ △LJK
(ii)

△HIL ∼ △LJK
(iii)

△HIL ∼ △KJL
(iv)

△LIH ∼ △LKJ
(v)

△HIL ∼ △LKJ

Question 21

21.

In the given figure, KLMN is a trapezium in which

(i)

△NKL
(ii)

△LMN
(iii)

△OLM
(iv)

△OKL
(v)

△ONK

Question 22

22.

The dimensions of the model of a multi-storey building are 2 cm ✕ 5.5 cm ✕ 8 cm. If the model is drawn to a scale of 1 : 160, find the volume of the room in the model whose actual volume is 11239.424 cu.m.

(i)

2884.00 cu.cm
(ii)

3014.00 cu.cm
(iii)

2564.00 cu.cm
(iv)

2744.00 cu.cm
(v)

2524.00 cu.cm

Question 23

23.

In the given figure, three lines l , m and n are such that l ∥ m ∥ n.

Two transversals PQ and RS intersect them at the points A , B , C and D , E , F respectively.

△ACF ∼

(i)

△FDA
(ii)

△FEH
(iii)

△DCF
(iv)

△ABH
(v)

△DAE

Question 24

24.

Identify the property by which the two given triangles are similar

(i)

not similar
(ii)

AAA Similarity
(iii)

SSS Similarity
(iv)

SAS Similarity

Question 25

25.

In the given figure, the two circles touch each other internally.

Diameter
OB
passes through the centre of the smaller circle.

Find the radius of the outer circle.

(i)

15.44 cm
(ii)

13.44 cm
(iii)

14.44 cm
(iv)

12.44 cm
(v)

11.44 cm

Assignment Key